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Calculations

SUBJECT: Maths - Calculations

Year

Key Concepts (Statutory Requirements)

Year 1

 

 

 

Addition and Subtraction

  • Read, write and interpret mathematical statements involving addition (+), subtraction (-) and equals (=) signs.
  • Represent and use number bonds and related subtraction facts within 20
  • Add and subtract one-digit and two-digit numbers to 20, including zero
  • Solve one step problems that involve addition and subtraction, using concrete objects and pictures, and missing number problems such as 7 =        - 9

Multiplication and Division

  • Solve one-step problems involving multiplication and division, by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher.

 

Year 2

Addition and Subtraction

  • solve problems with addition and subtraction:
  • using concrete objects and pictorial representations, including those involving numbers, quantities and measures

                  -    applying their increasing knowledge of mental and written methods

  • recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100
  • add and subtract numbers using concrete objects, pictorial representations, and mentally, including:

               -    a two-digit number and ones

               -    a two-digit number and tens

               -    two two-digit numbers

               -    adding three one-digit numbers

  • show that addition of two numbers can be done in any order (commutative) and subtraction of one number from another cannot
  • recognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problems.

Multiplication and Division

  • recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables, including recognising odd and even numbers
  • calculate mathematical statements for multiplication and division within the multiplication tables and write them using the multiplication (×), division (÷) and equals (=) signs
  • show that multiplication of two numbers can be done in any order (commutative) and division of one number by another cannot
  • solve problems involving multiplication and division, using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contexts.

Year 3

Addition and Subtraction

  • add and subtract numbers mentally, including:
  •  a three-digit number and ones
  • a three-digit number and tens
  • a three-digit number and hundreds
  • add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction
  • estimate the answer to a calculation and use inverse operations to check answers
  • solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction.

Multiplication and Division

  • recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables
  • write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods
  • solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects.

Year 4

Addition and Subtraction

  • add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate
  • estimate and use inverse operations to check answers to a calculation
  • solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why.

Multiplication and Division

  • recall multiplication and division facts for multiplication tables up to 12 × 12
  • use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together three numbers
  • recognise and use factor pairs and commutatively in mental calculations
  • multiply two-digit and three-digit numbers by a one-digit number using formal written layout
  • solve problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit, integer scaling problems and harder correspondence problem such as n objects are connected to m objects.

Year 5

Addition and Subtraction

  • add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction)
  • add and subtract numbers mentally with increasingly large numbers
  • use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy
  • solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why.

Multiplication and Division

  • identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers
  • know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers
  • establish whether a number up to 100 is prime and recall prime numbers up to 19
  • multiply numbers up to 4 digits by a one- or two-digit number using a formal written method, including long multiplication for two-digit numbers
  • multiply and divide numbers mentally drawing upon known facts
  •  divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context
  • multiply and divide whole numbers and those involving decimals by 10, 100 and 1000

Year 6

Addition, Subtraction, Multiplication and Division

  • multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication
  • divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context
  • divide numbers up to 4 digits by a two-digit number using the formal written method of short division where appropriate, interpreting remainders according to the context
  • perform mental calculations, including with mixed operations and large numbers
  • identify common factors, common multiples and prime numbers
  • use their knowledge of the order of operations to carry out calculations involving the four operations
  • solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why

 

 

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